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Yakvenalex [24]
3 years ago
6

Find the equation, f(x) = a(x-h)2 + k, for a parabola that passes through the point (1,-7) and has (2,- 4) as its vertex. What i

s the standard form of the equation?
Mathematics
1 answer:
Anettt [7]3 years ago
5 0
The coordinates of the vertex are (h,k)  so we can write:-
 f(x) = a(x -2)^2 - 4
now when f(x) = -7 x = 1 so:-

-7 = a(1-2)^2 - 4
-7 = a - 4
a = -3

so the vertex formula is 
f(x) = -3(x - 2)^2 - 4

standard form:-

f(x) = -3(x^2 - 4x + 4)  - 4
       = -3x^2 + 12x - 16
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Step-by-step explanation:

Given a varies directly as \sqrt[3]{b} then the equation relating them is

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To find k use the condition a = 3 , b = 64 , then

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